What is 63.75% of 6400?
Calculate 63.75% of 6400 with a complete step-by-step solution.
Answer:
63.75% of 6400 = 4080
Step-by-Step Solution
Step 1
Understand the Problem
We need to find 63.75% of 6400.
The word "percent" means "per hundred" or "out of 100".
So 63.75% means 63.75 out of every 100.
Step 2
Convert Percentage to Decimal
To calculate with percentages, we first convert to a decimal.
Divide the percentage by 100:
63.75 ÷ 100 = 0.6375
This means 63.75% = 0.6375
Step 3
Multiply to Find the Result
Now multiply the decimal by the number:
0.6375 × 6400 = 4080
So 63.75% of 6400 = 4080
Step 4
Alternative Method
You can also think of it as a fraction:
63.75% of 6400 = (63.75/100) × 6400
= (63.75 × 6400) / 100
= 408000 / 100
= 4080